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Finding the Third Proportional to 184,164.47 and 275,112.28

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Solution

The third proportional to 184,164.47 and 275,112.28 is: 410,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,164.47 : 275,112.28 = 275,112.28 : x
  2. Step 2: Convert to fraction form
    184,164.47/275,112.28 = 275,112.28/x
  3. Step 3: Cross multiply
    184,164.47x = 275,112.28 × 275,112.28
  4. Step 4: Simplify right side
    184,164.47x = 75,686,767,294.58
  5. Step 5: Solve for x
    x = 75,686,767,294.58/184,164.47
  6. Step 6: Final answer
    x = 410,973.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.